Special Session 73: Nonlinear elliptic and parabolic equations and related functional inequalities

Nonlinearities and singularities

Marta Calanchi
Universit\`a degli Studi di Milano
Italy
Co-Author(s):    
Abstract:
We discuss some applications of singularity theory to nonlinear differential equations. In particular, we consider an elliptic equation with a nonlinearity which interacts with the k-th eigenvalue, and show that only fold and cusp singularities occur.